Open AccessReduction of inhomogeneous boundary conditions to homogeneous in partial differential equations
Author(s) -
T V Oblakova
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1391/1/012139
Subject(s) - homogeneous , reduction (mathematics) , boundary value problem , partial differential equation , mathematics , mathematical analysis , variable (mathematics) , type (biology) , fourier transform , boundary (topology) , geometry , ecology , combinatorics , biology
A universal replacement of the variable is proposed, which allows reducing the problem with inhomogeneous boundary conditions of any type to a problem with homogeneous ones. It is shown that due to this replacement the structure of the obtained analytical solutions is significantly simplified. The question of the existence of such a replacement is investigated, examples are given that demonstrate the performance and advantages of the proposed approach for solutions obtained by the Fourier method.